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Notation for Element-Wise Matrix Operations

OhMyMarkov

Member
Mar 5, 2012
83
Hello everyone!

Is there a conventional notation for some common arithmetic operations, like element-wise product, or element-wise power?

Thanks!
 

Ackbach

Indicium Physicus
Staff member
Jan 26, 2012
4,193
Re: Notation for Eelement-Wise Matrix Operation

I would probably just refer to indices. So if you have a matrix $A$, the $i,j$ element is $A_{ij}$. If you have another matrix $B$ of the same dimensions, then you could do element-wise exponentiation like this:

$$A_{ij}^{B_{ij}}.$$

Also note that in the MATLAB software and various clones, you can use a period prefix to indicate element-wise arithmetic, like .* for element-wise multiplication.